Bifrost


This has six meantone fifths, leading to three pure thirds; on each side of the chain of meantones we put two pure 3/2's, so we have four pure fifths in total; we then round out with two sharp fifths of size sqrt(2048/2025 sqrt(5)), of size 706.355 cents. This leads to three sharp major thirds which are within a cent of being pure 14/11's, being of size 416.619 cents; and two more sharp thirds of size 406.843 at E and Ab, which are the only real problems with this temperament.

! bifrost.scl
! [45/64*5^(1/4), 1/2*5^(1/2), 16/45*5^(3/4), 5/4, 2/5*5^(3/4), 15/16*5^(1/4), 5^(1/4),
! 1/2*10^(1/2), 1/2*5^(3/4), 8/15*5^(3/4), 5/4*5^(1/4), 2]
!
Six meantone fifths, four pure fifths, two on each side, two fifths of sqrt(2048/2025 sqrt(5))
12
!
86.802144
193.156856
299.511569
386.313714
503.421572
584.847143
696.578428
793.156857
889.735285
1001.466571
1082.892142
1200.000000

 

 

Music in bifrost


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